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Title: A comparison of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability growth

Abstract

The growth dynamics of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability are compared systematically using data from high-resolution implicit large-eddy simulations of a model of the Mach 1.3 air(acetone) and sulfur hexafluoride (Jacobs and Krivets, 2005) shock tube experiment. The vorticity deposition by the incident shock and the dynamics of interface evolution are examined quantitatively and qualitatively. The perturbation amplitudes from the two- and three-dimensional simulations are compared to the experimental data and to the predictions of several nonlinear instability growth models. It is shown that the perturbation amplitudes from the two- and three-dimensional simulations with matching initial Richtmyer velocity are in excellent agreement with the experimental data. In addition, the dynamics of reshock (not considered in the experiment) are described in detail, and the post-reshock mixing layer amplitude growth rate is compared to the predictions of several reshock models. It is shown that using two-dimensional simulations to understand three-dimensional dynamics is valid only at early-to-intermediate times before reshock; at intermediate-to-late times after reshock the three-dimensional growth is generally larger than the corresponding two-dimensional growth. Furthermore, the reshock dynamics are also different between two and three dimensions. The quantitative results, together with visualizations of the flow field, were also usedmore » to contrast the difference between two- and three-dimensional vorticity and enstrophy dynamics.« less

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. California Institute of Technology (CalTech), Pasadena, CA (United States); Northrup Grumman Aerospace Systems, Palmdale, CA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1806421
Alternate Identifier(s):
OSTI ID: 1569308
Report Number(s):
LLNL-JRNL-779580
Journal ID: ISSN 0167-2789; 972711
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physica. D, Nonlinear Phenomena
Additional Journal Information:
Journal Volume: 401; Journal ID: ISSN 0167-2789
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Richtmyer-Meshkov instability; reshock; nonlinear instability growth models; WENO method

Citation Formats

Latini, Marco, and Schilling, Oleg. A comparison of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability growth. United States: N. p., 2019. Web. doi:10.1016/j.physd.2019.132201.
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Latini, Marco, & Schilling, Oleg. A comparison of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability growth. United States. https://doi.org/10.1016/j.physd.2019.132201
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Latini, Marco, and Schilling, Oleg. Thu . "A comparison of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability growth". United States. https://doi.org/10.1016/j.physd.2019.132201. https://www.osti.gov/servlets/purl/1806421.
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@article{osti_1806421,
title = {A comparison of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability growth},
author = {Latini, Marco and Schilling, Oleg},
abstractNote = {The growth dynamics of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability are compared systematically using data from high-resolution implicit large-eddy simulations of a model of the Mach 1.3 air(acetone) and sulfur hexafluoride (Jacobs and Krivets, 2005) shock tube experiment. The vorticity deposition by the incident shock and the dynamics of interface evolution are examined quantitatively and qualitatively. The perturbation amplitudes from the two- and three-dimensional simulations are compared to the experimental data and to the predictions of several nonlinear instability growth models. It is shown that the perturbation amplitudes from the two- and three-dimensional simulations with matching initial Richtmyer velocity are in excellent agreement with the experimental data. In addition, the dynamics of reshock (not considered in the experiment) are described in detail, and the post-reshock mixing layer amplitude growth rate is compared to the predictions of several reshock models. It is shown that using two-dimensional simulations to understand three-dimensional dynamics is valid only at early-to-intermediate times before reshock; at intermediate-to-late times after reshock the three-dimensional growth is generally larger than the corresponding two-dimensional growth. Furthermore, the reshock dynamics are also different between two and three dimensions. The quantitative results, together with visualizations of the flow field, were also used to contrast the difference between two- and three-dimensional vorticity and enstrophy dynamics.},
doi = {10.1016/j.physd.2019.132201},
journal = {Physica. D, Nonlinear Phenomena},
number = ,
volume = 401,
place = {United States},
year = {Thu Sep 19 00:00:00 EDT 2019},
month = {Thu Sep 19 00:00:00 EDT 2019}
}
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https://doi.org/10.1016/j.physd.2019.132201
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